Conductivity cell is filled with $0.01$ M KCl gives a resistance of $484 \Omega$ and conductivity of $0…

Conductivity cell is filled with $0.01$ M KCl gives a resistance of $484 \Omega$ and conductivity of $0.00141 \Omega^{-1} \mathrm{~cm}^{-1}$ at $25^{\circ} \mathrm{C}$. What is cell constant?
  1. $0 \cdot 682 \mathrm{~cm}^{-1}$
  2. $0 \cdot 341 \mathrm{~cm}^{-1}$
  3. $0.751 \mathrm{~cm}^{-1}$
  4. $0 \cdot 510 \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} C=0.01 \mathrm{M}, \quad R &=484 \Omega, \quad \mathrm{k}=0.00141 \Omega^{-1} \mathrm{~cm}^{-1}, \quad b=? \\ \text { Cell constant, } \mathrm{b} &=k \times R \\ &=0.00141 \Omega^{-1} \mathrm{~cm}^{-1} \times 484 \Omega \\ b &=0.682 \mathrm{~cm}^{-1} \end{aligned}$

Asked in: MHT CET 2020 (13 Oct Shift 2)

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